Solve 192^2=sqrt{185x/3600}

$$192 ^ { 2 } = \sqrt { \frac { 185 x } { 3600 } }$$

Solve for x

$$x = \frac{978447237120}{37} = 26444519922\frac{6}{37} \approx 26444519922.162162162$$

Steps for Solving Radical Equations

Calculate 192 to the power of 2 and get 36864.

$$36864=\sqrt{\frac{185x}{3600}}$$

Divide 185x by 3600 to get \frac{37}{720}x.

$$36864=\sqrt{\frac{37}{720}x}$$

Swap sides so that all variable terms are on the left hand side.

$$\sqrt{\frac{37}{720}x}=36864$$

Square both sides of the equation.

$$\frac{37}{720}x=1358954496$$

Divide both sides of the equation by \frac{37}{720}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{37}{720}x}{\frac{37}{720}}=\frac{1358954496}{\frac{37}{720}}$$

Dividing by \frac{37}{720} undoes the multiplication by \frac{37}{720}.

$$x=\frac{1358954496}{\frac{37}{720}}$$

Divide 1358954496 by \frac{37}{720} by multiplying 1358954496 by the reciprocal of \frac{37}{720}.

$$x=\frac{978447237120}{37}$$